Posts 1 - 10 of 322

Two Flavors of SVD

MATLAB has two different ways to compute singular values. The easiest is to compute the singular values without the singular vectors. Use svd with one output argument, s1.... read more >>

LUTool, Animation of Gaussian Elimination 2

LUTool provides an interactive animation of Gaussian elimination, the most important algorithm in technical computing.... read more >>

Code for Sonic and Ten Sonic Movies 2

Two previous blog posts, Dec. 12, 2024 and Nov. 16, 2024, introduced "Sonic", my new tool for incorporating sound in videos. Today's blog post includes a link to the MATLAB source code for Sonic, as well as links to new versions of ten examples.... read more >>

Sonic Adds Sound to Logo, Recamán, Chaos

I introduced Sonic in my blog post last month. Today I will use Sonic to add sound to the graphics from three old posts, the vibrating L-shaped membrane, the Recamán sequence and the chaotic behavior of the Swinging Sticks.... read more >>

Lights, Camera, Action — and Sound 4

I am very excited to incorporate sound in animations. This blog post has five examples with links to videos enclosed in '+ + + +'.... read more >>

Möbius, Mertens and Redheffer 6

Recently, I have made a series of blog posts about Redheffer matrices and the Mertens conjecture. After each of the posts, readers and colleagues offered suggestions to speed up the calculations. Here is a summary of what I have learned.... read more >>

Experience With Chatbots Generating MATLAB 1

A friend is investigating the use of generative AI in his classes. I asked two different popular chatbots to write MATLAB programs for a mathematically nontrivial problem. Both chatbots understood my query and both wrote plausible MATLAB programs, but one of the programs was not correct. My recommendation for coursework: carefully read and test programs produced by generative AI and repair any incorrect ones.... read more >>

Redheffer and Mertens, Accelerated 4

Shortly after I published the second post about the Mertens conjecture, a reader's comment suggested a new approach to computing Redheffer determinants and the Mertens function. It is now possible to compute a half-million values of the Mertens function in about five hours.... read more >>

Redheffer and Mertens, Continued 3

Shortly after I posted Redheffer, Mertens and One-Million Dollars a few days ago, Mathworks' Pat Quillen made an important observation about computing the Mertens function.... read more >>

Redheffer, Mertens and One-Million Dollars 1

I didn't know anything about these topics until a couple of weeks ago. Now I can't stop thinking about them.... read more >>

Posts 1 - 10 of 322

These postings are the author's and don't necessarily represent the opinions of MathWorks.

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